Kripke semantics

Kripke Semantics is a way to explain the meanings of some sentences. It's named after a logician named Saul Kripke.

In Kripke Semantics, a sentence has a meaning in a special way. First, you have a "world" -- this is like a special place where everything is true. Then, you have some sentences which have to be true in the world -- they are called "axioms". Finally, you have a rule called the "rule of inference".

The rule of inference allows you to figure out the meaning of any sentence by working backwards. First, you start with any sentence that is already true in the world. Then, you look at the sentences which are similar to it. If you can find a sentence which is almost the same, then the meaning of the sentence is the same too. This is how the rule of inference helps us figure out what a sentence means.

Kripke Semantics is useful because it helps make sure that somebody isn't trying to twist the meaning of a sentence to get what they want. So, if two people say the same sentence, they will be talking about the same thing.